An Elementary Proof of Phase Transition in the Planar XY Model
نویسندگان
چکیده
Abstract Using elementary methods we obtain a power-law lower bound on the two-point function of planar XY spin model at low temperatures. This was famously first rigorously obtained by Fröhlich and Spencer (Commun Math Phys 81(4):527–602, 1981) establishes Berezinskii–Kosterlitz–Thouless phase transition in model. Our argument relies new loop representation correlations, recent result Lammers (Probab Relat Fields, 2021) delocalisation general integer-valued height functions, classical correlation inequalities.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2022
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-022-04550-3